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For the following LCG generator: Xi = (13Xi1 + 13)(mod(16)), X0 = 37. What is the...

For the following LCG generator: Xi = (13Xi1 + 13)(mod(16)), X0 = 37.

  1. What is the maximum possible period length for this generator? Does this generator achieve the maximum possible period length? Justify your answer.
  2. Generate 2 pseudo-random uniform numbers for this generator.

Xo=37, a=13, c=13, m=16
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Answer #1

LCG Generator Xi = ( 13x14+13) Mod 16 -0 Xo=37 Theorem Ri= (a Ritc) mod m compairing 6 2 we get Az C=13 and Ma16 a) . = 21 Xo

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